MathIdeasResearch in progressRepository ↗
← Research catalogOriginal Markdown ↓
On this page

Arithmetic group normal-subgroup classification adapter

Family 018: The Margulis–Platonov conjecture over global fields. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Group researchers can connect abstract normal subgroups to local open subgroups under the stated algebraic group hypotheses.

Applicability and commercial boundary

Infinite abstract subgroup classification need not admit a finite encoding or efficient algorithm.

Initial business decision

Research infrastructure or conditional engineering until a computable implementation, effective bounds and a recurring buyer need are demonstrated. No commercial novelty or profitability is established.

Next verification action

Identify a finite presentation or symbolic local-group example.

Evidence scope

The catalog statement was individually reviewed. Manuscript proof and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

The Margulis–Platonov conjecture over global function fields.